Parallel iterative methods for variational integration applied to navigation problems

Autor:	Ferraro, Sebastián J., de Diego, David Martín, de Almagro, Rodrigo T. Sato Martín
Rok vydání:	2021
Předmět:	Mathematics - Numerical Analysis Mathematics - Optimization and Control 70-08 70-10 70G45 70Hxx 70Q05 93-XX 93C10 49-XX 49Mxx 49M20 65L10
Druh dokumentu:	Working Paper
Popis:	Discrete variational methods have shown an excellent performance in numerical simulations of different mechanical systems. In this paper, we introduce an iterative method for discrete variational methods appropriate for boundary value problems. More concretely, we explore a parallelization strategy that leverages the power of multicore CPUs and GPUs (graphics cards). We study this parallel method for first-order and second-order Lagrangians and we illustrate its excellent behavior in some interesting applications, namely Zermelo's navigation problem, a fuel-optimal navigation problem, and an interpolation problem. Comment: 6 pages, 4 figures. This work has been accepted to IFAC for publication under a Creative Commons Licence CC-BY-NC-ND
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2109.05559 Zobrazit plný text záznamu View this record from Arxiv